[Maxima] Shouryya Ray's equation
dlakelan at street-artists.org
Fri Jun 1 10:06:04 CDT 2012
On 06/01/2012 07:39 AM, Jaime Villate wrote:
> On 05/31/2012 05:22 PM, dlakelan wrote:
>> This is fine as a toy math problem, but the proportionality in real
>> physical problems is not a constant.
> Of course, we are talking about a mathematical problem; namely, an
> analytical method to obtain the solution
> to a system of non-linear ODEs.
Yes which is a great thing to do, absolutely, but I do worry that
students see these specialized tricks too often and have little sense of
what a "realistic" model looks like or the trouble needed to get
information out of it.
> I have not made any experimental measurements and I do not play golf,
> but I would be very surprise if a real-life projectile had a perfectly
> plane trajectory like the ones I model using numerical methods :)
I think most golfers will be surprised by that as well :-) they have
specialized terms for the common kinds of aerodynamic effects such as
"slice" and "hook", not to mention the ricochet off the trees ;-)
For the course, I used a range of projectiles from a cannon ball at
about 6 inches (150mm) diameter to a BB at about 0.177 inches (~4 mm)
with velocities up to 50 m/s and in fluids including air and water. The
range of drag coefficient was more substantial, and the course was about
programming, not differential equations.
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